Solved: An infinite porous slab of unit width is immersed in a solution of constant
Chapter 15, Problem 24(choose chapter or problem)
An infinite porous slab of unit width is immersed in a solution of constant concentration \(\mathcal{C}_{0}\). A dissolved substance in the solution diffuses into the slab. The concentration c(x, t) in the slab is determined from
\(D \frac{\partial^{2} c}{\partial x^{2}}=\frac{\partial c}{\partial t}\), 0<x<1, t>0
\(c(0, t)=c_{0}\), \(c(1, t)=c_{0}\), t>0
c(x, 0)=0, 0<x<1
where D is a constant. Solve for c(x, t).
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